高保真模拟生成可变形气泡动态数据集,助力多相流建模与生成预测。
BubbleSH: A Dataset of Rising Bubbles with Deformable Interfaces

- 用球谐函数表示气泡形变,记录三维气泡群瞬态轨迹与速度。
- 包含气泡运动、形态演化及相互作用模式,支持轨迹与形状预测评估。
- 适合研究混沌多相系统生成模型,如概率性模拟器的训练与测试。
气泡流呈现复杂的多尺度动力学,可变形气泡通过周围液体相互作用,产生强耦合的运动与形态行为。我们提出 BubbleSH,一个由周期域内上升气泡的高保真直接数值模拟生成的气泡群瞬态三维动态数据集。该数据集提供时间分辨的气泡轨迹、速度与形状演化信息,气泡形态采用球谐函数紧凑表征。数据集设计轻量但物理表达丰富,适用于以形变和气泡-气泡相互作用为核心的数据驱动气泡流模拟器建模。我们通过气泡运动学、形态及相互作用模式对数据集进行表征,并引入轨迹与形状预测的评估指标。气泡群动态对局部扰动敏感,使 BubbleSH 特别适合学习未来可能轨迹分布的生成模型。我们在数据集上评估了一个具备置换与平移等变性的概率性模拟器,所提指标下表现良好。因此,我们建立了一个紧凑、高保真的数据集及基准,用于开发与评估可变形混沌多相系统的数据驱动模型。
原文摘要 · Abstract (English)
Bubbly flows exhibit complex multiscale dynamics, with deformable bubbles interacting through the surrounding liquid and giving rise to strongly coupled kinematic and morphological behavior. We present BubbleSH, a bubbly flows dataset consisting of transient, three-dimensional bubble-swarm dynamics obtained from high-fidelity direct numerical simulations of bubbles rising in a periodic domain. The dataset provides time-resolved bubble trajectories, velocities, and shape evolution, with bubble morphology compactly represented using spherical harmonics. Designed to be lightweight yet physically expressive, the dataset enables data-driven modeling of bubbly flow simulators where shape deformation and bubble-bubble interactions play a central role. We characterize the dataset with bubble kinematics, morphology, and interaction patterns, and introduce evaluation metrics for both trajectory and shape prediction. The sensitivity of bubble-swarm dynamics to local perturbations makes BubbleSH particularly well suited to generative models that learn distributions over possible future trajectories. We evaluate a permutationally and translationally equivariant probabilistic emulator on BubbleSH given the proposed metrics. Therefore, we establish a compact, high-fidelity dataset and a benchmark for developing and evaluating data-driven models of deformable, chaotic multiphase systems.
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